Strictly speaking, a theoretical description of the electron-phonon scattering in 2D is more involved due to the presence of flexural phonon modes 27, allowing for multiple phonon scattering 27, 28, 29, yet the single-phonon formulation turns out to be sufficient even for a quantitative description of the charge carrier transport in most of the cases 30. The first-principles theory of electron-phonon interactions is well established 21, and has been routinely applied to study transport properties of nonmagnetic 3D and 2D materials 22, 23, 24, 25, 26. Moreover, temperature dependence of the spin-polarized electronic structure in magnetically ordered systems might play a role for the conventional sources of scattering (e.g., phonons). 1b), providing essential contribution to the transport characteristics and/or give rise to qualitatively new effects (e.g., Kondo effect) 19, 20. In comparison to nonmagnetic 2D systems, the charge carrier scattering in conductive magnets is not limited to the impurities or phonons, but may include scattering by spin fluctuations 17, 18 (Fig. While a considerable attention is paid to skyrmions, the electron transport and scattering mechanisms in FGT remain unclear from the microscopic point of view. A hexagonal lattice of skyrmions is recently observed in this system 14, 15, 16, which might be important for spintronics applications. One of the most remarkable properties of FGT is the absence of inversion symmetry, allowing for the formation of topologically nontrivial magnetic textures 12, 13. In contrast, FGT has a number of special characteristics since it combines a metallic behavior, needed for the realization of controllable transport 9, 10, with the ferromagnetic ground state and comparably high Curie temperature T C ≃ 220 K 3, 4, 11, surviving down to the monolayer limit 5. Most of the known 2D magnets are insulating or semiconducting, which limits our understanding of their transport properties and the underlying physical mechanisms. by external electrical field 7 and environmental screening 8) promising for technological application, as well as serve as an excellent platform for probing the magnetic interactions in low dimensions. Magnetic properties of these systems demonstrate high tunability (e.g. A special place in this search is devoted to 2D magnetic materials, which became the subject of active studies after the exfoliation of van der Waaals magnets such as CrI 3 1, Cr 2Ge 2Te 6 2, Fe 3GeTe 2 (FGT) 3, 4, 5, 6, etc.
The interest to two-dimensional (2D) systems is driven by the continuous progress in the development of novel technologies involving miniaturization of electronic devices and low-energy consumption.
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